Least Common Multiple of 322/204, 5016/5274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/204, 5016/5274 quickly i.e. 134596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/204, 5016/5274 is 134596.

LCM(322/204, 5016/5274) = 134596

LCM of 322/204, 5016/5274

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 322/204,5016/5274

Given numbers are 322/204,5016/5274

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 322,5016

Least Common Multiple of Numerators i.e. LCM of 322,5016 is 807576.

GCF of Denominators means GCF of 204,5274 as per the given fractions.

GCF of 204,5274 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,5016

LCM of Fractions 322/204,5016/5274 is 134596

2 322, 5016
161, 2508

∴ So the LCM of the given numbers is 2 x 161 x 2508 = 807576

Least Common Multiple of 322,5016 with GCF Formula

Least Common Multiple of 322,5016 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 322,5016 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,5016) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(322,5016) x common factors =2 x 1 = 2

LCM(322,5016) = ( 322 × 5016 ) / 2

LCM(322,5016) = 1615152 / 2

LCM(322,5016) = 807576


Lets's calculate GCF of 204,5274

2 204, 5274
3 102, 2637
34, 879

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 807576/6

Therefore the LCM of Fractions 322/204,5016/5274 is 134596

Greatest Common Factor of 204,5274 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,5274 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 5274

List of positive integer factors of 5274 that divides 5274 without a remainder.

1,2,3,6,9,18,293,586,879,1758,2637,5274

Greatest Common Factor

We found the factors 204,5274 . The biggest common factor number is the GCF number.
So the greatest common factor 204,5274 is 6.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 322/204, 5016/5274

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 322/204, 5016/5274?

Answer: LCM of Numerators as per given numbers 322/204, 5016/5274 is

LCM of Numerators i.e. for 322,5016 is 807576

GCF of denominators i.e. for 204,5274 is 6.

Thus, LCM of Fractions is 134596.Finally, LCM of Fractions for 322/204, 5016/5274 is 134596.